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Finding the Fourth Proportional to 361,131.60, 541,904.84 and 282,023.76

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Solution

The fourth proportional to 361,131.60, 541,904.84 and 282,023.76 is: 423,197.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,131.60 : 541,904.84 = 282,023.76 : x
  2. Step 2: Convert to fraction form
    361,131.60/541,904.84 = 282,023.76/x
  3. Step 3: Cross multiply
    361,131.60x = 541,904.84 × 282,023.76
  4. Step 4: Simplify right side
    361,131.60x = 152,830,040,539.00
  5. Step 5: Solve for x
    x = 152,830,040,539.00/361,131.60
  6. Step 6: Final answer
    x = 423,197.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.